Asymptotic Behaviour of the Three-Dimensional Á-Navier-Stokes Model with Locally Lipschitz Delay Forcing Terms

We obtain some results on the existence and uniqueness, and exponential stability of solutions for the three-dimensional ®¡Navier-Stokes model with delays, when the forcing term containing the delay is sub-linear and locally Lipschitz continuous.

Detalhes bibliográficos
Autores: Caraballo Garrido, Tomás, Márquez Durán, Antonio Miguel, Real Anguas, José
Formato: artículo
Fecha de publicación:2009
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23645
Acesso em linha:http://hdl.handle.net/11441/23645
https://doi.org/ 10.1016/j.na.2008.10.048
Access Level:acceso abierto
Palavra-chave:Gamma–Navier Stokes models with delays
Existence and uniqueness of variational solutions
Exponential convergence of solutions
Asymptotic stability of stationary solutions
Descrição
Resumo:We obtain some results on the existence and uniqueness, and exponential stability of solutions for the three-dimensional ®¡Navier-Stokes model with delays, when the forcing term containing the delay is sub-linear and locally Lipschitz continuous.